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47

Sep 21, 2013
09/13

by
Jasper Franke; Gregor Wergen; Joachim Krug

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We consider records and sequences of records drawn from discrete time series of the form $X_{n}=Y_{n}+cn$, where the $Y_{n}$ are independent and identically distributed random variables and $c$ is a constant drift. For very small and very large drift velocities, we investigate the asymptotic behavior of the probability $p_n(c)$ of a record occurring in the $n$th step and the probability $P_N(c)$ that all $N$ entries are records, i.e. that $X_1 < X_2 < ... < X_N$. Our work is motivated...

Source: http://arxiv.org/abs/1008.1482v1

45
45

Sep 23, 2013
09/13

by
Gregor Wergen; Jasper Franke; Joachim Krug

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The statistics of records in sequences of independent, identically distributed random variables is a classic subject of study. One of the earliest results concerns the stochastic independence of record events. Recently, records statistics beyond the case of i.i.d. random variables have received much attention, but the question of independence of record events has not been addressed systematically. In this paper, we study this question in detail for the case of independent, non-identically...

Source: http://arxiv.org/abs/1105.3915v3

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42

Oct 23, 2014
10/14

by
Godinic-Mikulcic, Vlatka; Jaric, Jelena; Greber, Basil J.; Franke, Vedran; Hodnik, Vesna; Anderluh, Gregor; Ban, Nenad; Weygand-Durasevic, Ivana

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This article is from Nucleic Acids Research , volume 42 . Abstract Aminoacyl-tRNA synthetases (aaRS) are essential enzymes catalyzing the formation of aminoacyl-tRNAs, the immediate precursors for encoded peptides in ribosomal protein synthesis. Previous studies have suggested a link between tRNA aminoacylation and high-molecular-weight cellular complexes such as the cytoskeleton or ribosomes. However, the structural basis of these interactions and potential mechanistic implications are not...

Source: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4005694